Title :
A class of canonical wavelet frames generated by two functions
Author :
Li, Zhi-fei ; Li, Ti-zheng
Author_Institution :
Sch. of Sci., Xi´´an Univ. of Archit. & Technol., Xi´´an
Abstract :
In this paper, we show that there exist wavelet frame generated by two functions which have good dual wavelet frames, but for which the canonical dual wavelet frame does not consist of wavelets. That is to say, the canonical dual wavelet frame cannot be generated by the translations and dilations of a single function.
Keywords :
wavelet transforms; canonical wavelet frame; dual wavelet frame; Artificial intelligence; Bismuth; Electronic mail; Focusing; Hilbert space; Pattern analysis; Pattern recognition; Signal processing; Upper bound; Wavelet analysis; Dual Wavelet Frame; Frame Operator; The Canonical Wavelet Frame; Wavelet Frame;
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2008. ICWAPR '08. International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-2238-8
Electronic_ISBN :
978-1-4244-2239-5
DOI :
10.1109/ICWAPR.2008.4635830
